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Finding the Third Proportional to 76,180 and 165,071

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Solution

The third proportional to 76,180 and 165,071 is: 357,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,180 : 165,071 = 165,071 : x
  2. Step 2: Convert to fraction form
    76,180/165,071 = 165,071/x
  3. Step 3: Cross multiply
    76,180x = 165,071 × 165,071
  4. Step 4: Simplify right side
    76,180x = 27,248,435,041
  5. Step 5: Solve for x
    x = 27,248,435,041/76,180
  6. Step 6: Final answer
    x = 357,684.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.